Dipole-pion cross section in the saturation regime
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916844372230144 |
|---|---|
| author | Boroun, G. R. Kopeliovich, B. Z. |
| author_facet | Boroun, G. R. Kopeliovich, B. Z. |
| contents | The scale-dependent dipole-pion cross section is analyzed as a function of the dipole size $r$ and the impact parameter $b$. This analysis relies on the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolution equation in $μ{\sim} 1/r +μ_{0}$ at the next-to-leading order (NLO) approximation, with a specific initial condition at $μ_{0}$. The dipole-pion cross section at small Bjorken variable $β$ is being considered over a wide range of transverse separations $r$. Using the Laplace transformation technique, we describe the determination of the dipole-pion cross section based on the gluon distribution at the initial scale $μ_{0}$ within a kinematic region characterized by low values of the Bjorken variable $β$. We found that geometric scaling for the dipole-pion cross section holds approximately within a wide kinematic region of $rQ_{s}$. The cross section saturates at large dipole sizes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_12837 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dipole-pion cross section in the saturation regime Boroun, G. R. Kopeliovich, B. Z. High Energy Physics - Phenomenology The scale-dependent dipole-pion cross section is analyzed as a function of the dipole size $r$ and the impact parameter $b$. This analysis relies on the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolution equation in $μ{\sim} 1/r +μ_{0}$ at the next-to-leading order (NLO) approximation, with a specific initial condition at $μ_{0}$. The dipole-pion cross section at small Bjorken variable $β$ is being considered over a wide range of transverse separations $r$. Using the Laplace transformation technique, we describe the determination of the dipole-pion cross section based on the gluon distribution at the initial scale $μ_{0}$ within a kinematic region characterized by low values of the Bjorken variable $β$. We found that geometric scaling for the dipole-pion cross section holds approximately within a wide kinematic region of $rQ_{s}$. The cross section saturates at large dipole sizes. |
| title | Dipole-pion cross section in the saturation regime |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2504.12837 |